Answer:
To find the composition of two functions, often denoted as \(f\) and \(g\), you use the composition operator (\(\circ\)). The composition of functions \(f\) and \(g\) is written as \(f \circ g\).
The composition of \(f\) and \(g\) is a new function that first applies \(g\) to an input and then applies \(f\) to the result of \(g\). In mathematical notation, it's expressed as:
\((f \circ g)(x) = f(g(x))\)
Here's a step-by-step process to find the composition of two functions:
1. Start with two functions, \(f(x)\) and \(g(x)\).
2. Apply \(g\) to an input \(x\) to get \(g(x)\).
3. Take the result \(g(x)\) and apply \(f\) to it to get \(f(g(x))\).
4. The composition \(f \circ g\) is the new function that represents this process.
This concept is often used in mathematics and computer science when you want to combine the effects of two functions applied sequentially.